My friends iPod Touch (generation 2) is having a similar issue where it won't start up at all. He said his wife was deleting things off of it, and it just shut off and wouldn't shut back on. I've tried restarting it, I have it connected to the laptop I'm currently using right now, but the laptop won't even recognize that there's anything attached to it via any of the USB ports. As such, I can't restore it through iTunes.
Occasionally, it will show that there's low battery, despite being plugged in constantly. And when it does, it varies between a black screen, and the apple logo. I've also noticed that there are times where it seems to be trying to load something, because it will show the Apple logo with a loading circle (not quite sure how else to explain it) underneath it.
I'm not entirely sure how exactly one could delete anything important from the iPod Touch itself, but nothing that I've been trying has helped it. Any ideas from anyone?